document.write( "Question 977561: How many distinguishable permutations of letters are possible in the word LOOK. Please solve and show work. Thank you. \n" ); document.write( "
Algebra.Com's Answer #599126 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Potentially, there are 24 (4!) ways to do this divided by 2!1!1!, or 2, so there should be 12 ways. The two Os limit the number of ways. \n" ); document.write( "They are \n" ); document.write( "OOLK \n" ); document.write( "OOKL That takes care of both Os in position 1 and 2. Now do it in 1 and 3. \n" ); document.write( "OKOL \n" ); document.write( "OLOK Next is 1 and 4 position \n" ); document.write( "OLKO \n" ); document.write( "OKLO Now 2 and 3 position \n" ); document.write( "KOOL \n" ); document.write( "LOOK And then 2 and 4 position \n" ); document.write( "KOLO \n" ); document.write( "LOKO Finally 3 and 4 position \n" ); document.write( "KLOO \n" ); document.write( "LKOO\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |